GCD of 854, 658, 331, 219 Calculator

Given Input numbers are 854, 658, 331, 219

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 854, 658, 331, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 658, 331, 219 is 1.

Therefore, GCD of numbers 854, 658, 331, 219 is 1

Given Input Data is 854, 658, 331, 219

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 331 is 331

Prime Factorization of 219 is 3 x 73

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(854, 658) = 40138

GCD(854, 658) = ( 854 x 658 ) / 40138

GCD(854, 658) = 561932 / 40138

GCD(854, 658) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 331

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(14, 331) = 4634

GCD(14, 331) = ( 14 x 331 ) / 4634

GCD(14, 331) = 4634 / 4634

GCD(14, 331) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 854, 658, 331, 219 is 1

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1. What is the GCD of 854, 658, 331, 219?

GCD of 854, 658, 331, 219 is 1

2. Where do I get the detailed procedure to find GCD of 854, 658, 331, 219?

You can find a detailed procedure to find GCD of 854, 658, 331, 219 on our page.

3. How to find GCD of 854, 658, 331, 219 on a calculator?

You can find the GCD of 854, 658, 331, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.